feat: add stats/incr/nanmrmse

lib/node_modules/@stdlib/stats/incr/nanmrmse/README.md

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+<!--
+
+@license Apache-2.0
+
+Copyright (c) 2026 The Stdlib Authors.
+
+Licensed under the Apache License, Version 2.0 (the "License");
+you may not use this file except in compliance with the License.
+You may obtain a copy of the License at
+
+   http://www.apache.org/licenses/LICENSE-2.0
+
+Unless required by applicable law or agreed to in writing, software
+distributed under the License is distributed on an "AS IS" BASIS,
+WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+See the License for the specific language governing permissions and
+limitations under the License.
+
+-->
+
+# incrnanmrmse
+
+> Compute a moving [root mean squared error][root-mean-squared-error] (RMSE) incrementally, ignoring `NaN` values.
+
+<section class="intro">
+
+For a window of size `W`, the [**root mean squared error**][root-mean-squared-error] (also known as the **root mean square error** (RMSE) and **root mean square deviation** (RMSD)) is defined as
+
+<!-- <equation class="equation" label="eq:root_mean_squared_error" align="center" raw="\operatorname{RMSE} = \sqrt{ \frac{1}{W} \sum_{i=0}^{W-1} (y_i - x_i)^2 }" alt="Equation for the root mean squared error."> -->
+
+```math
+\mathop{\mathrm{RMSE}} = \sqrt{ \frac{1}{W} \sum_{i=0}^{W-1} (y_i - x_i)^2 }
+```
+
+<!-- <div class="equation" align="center" data-raw-text="\operatorname{RMSE} = \sqrt{ \frac{1}{W} \sum_{i=0}^{W-1} (y_i - x_i)^2 }" data-equation="eq:root_mean_squared_error">
+    <img src="https://cdn.jsdelivr.net/gh/stdlib-js/stdlib@6c360ad04d4b48c623a626d13723b4dc33ff0e8e/lib/node_modules/@stdlib/stats/incr/mrmse/docs/img/equation_root_mean_squared_error.svg" alt="Equation for the root mean squared error.">
+    <br>
+</div> -->
+
+<!-- </equation> -->
+
+</section>
+
+<!-- /.intro -->
+
+<section class="usage">
+
+## Usage
+
+```javascript
+var incrnanmrmse = require( '@stdlib/stats/incr/nanmrmse' );
+```
+
+#### incrnanmrmse( window )
+
+Returns an accumulator `function` which incrementally computes a moving [root mean squared error][root-mean-squared-error]. The `window` parameter defines the number of values over which to compute the moving [root mean squared error][root-mean-squared-error], ignoring `NaN` values.
+
+```javascript
+var accumulator = incrnanmrmse( 3 );
+```
+
+#### accumulator( \[x, y] )
+
+If provided input values `x` and `y`, the accumulator function returns an updated [root mean squared error][root-mean-squared-error]. If not provided input values `x` and `y`, the accumulator function returns the current [root mean squared error][root-mean-squared-error].
+
+```javascript
+var accumulator = incrnanmrmse( 3 );
+
+var r = accumulator();
+// returns null
+
+// Fill the window...
+r = accumulator( 2.0, 3.0 ); // [(2.0,3.0)]
+// returns 1.0
+
+r = accumulator( -1.0, 4.0 ); // [(2.0,3.0), (-1.0,4.0)]
+// returns ~3.61
+
+r = accumulator( 3.0, 9.0 ); // [(2.0,3.0), (-1.0,4.0), (3.0,9.0)]
+// returns ~4.55
+
+r = accumulator( NaN, 5.0 ); // [(2.0,3.0), (-1.0,4.0), (3.0,9.0)] (NaN pair ignored)
+// returns ~4.55
+
+// Window begins sliding...
+r = accumulator( -7.0, 3.0 ); // [(-1.0,4.0), (3.0,9.0), (-7.0,3.0)]
+// returns ~7.33
+
+r = accumulator( -5.0, -3.0 ); // [(3.0,9.0), (-7.0,3.0), (-5.0,-3.0)]
+// returns ~6.83
+
+r = accumulator();
+// returns ~6.83
+```
+
+</section>
+
+<!-- /.usage -->
+
+<section class="notes">
+
+## Notes
+
+-   Input values are **not** type checked. If provided `NaN` for either value, the pair is ignored and the accumulator function returns the current [root mean squared error][root-mean-squared-error] without updating the window. If non-numeric inputs are possible, you are advised to type check and handle accordingly **before** passing the value to the accumulator function.
+-   As `W` (x,y) pairs are needed to fill the window buffer, the first `W-1` returned values are calculated from smaller sample sizes. Until the window is full, each returned value is calculated from all provided values (excluding NaN values).
+
+</section>
+
+<!-- /.notes -->
+
+<section class="examples">
+
+## Examples
+
+<!-- eslint no-undef: "error" -->
+
+```javascript
+var uniform = require( '@stdlib/random/base/uniform' );
+var bernoulli = require( '@stdlib/random/base/bernoulli' );
+var incrnanmrmse = require( '@stdlib/stats/incr/nanmrmse' );
+
+var accumulator;
+var v1;
+var v2;
+var i;
+
+// Initialize an accumulator:
+accumulator = incrnanmrmse( 5 );
+
+// For each simulated datum, update the moving root mean squared error...
+for ( i = 0; i < 100; i++ ) {
+    v1 = ( bernoulli( 0.8 ) < 1 ) ? NaN : uniform( -50.0, 50.0 );
+    v2 = ( bernoulli( 0.8 ) < 1 ) ? NaN : uniform( -50.0, 50.0 );
+    accumulator( v1, v2 );
+}
+console.log( accumulator() );
+```
+
+</section>
+
+<!-- /.examples -->
+
+<!-- Section for related `stdlib` packages. Do not manually edit this section, as it is automatically populated. -->
+
+<section class="related">
+
+</section>
+
+<!-- /.related -->
+
+<!-- Section for all links. Make sure to keep an empty line after the `section` element and another before the `/section` close. -->
+
+<section class="links">
+
+[root-mean-squared-error]: https://en.wikipedia.org/wiki/Root-mean-square_deviation
+
+<!-- <related-links> -->
+
+<!-- </related-links> -->
+
+</section>
+
+<!-- /.links -->

lib/node_modules/@stdlib/stats/incr/nanmrmse/benchmark/benchmark.js

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+/**
+* @license Apache-2.0
+*
+* Copyright (c) 2026 The Stdlib Authors.
+*
+* Licensed under the Apache License, Version 2.0 (the "License");
+* you may not use this file except in compliance with the License.
+* You may obtain a copy of the License at
+*
+*    http://www.apache.org/licenses/LICENSE-2.0
+*
+* Unless required by applicable law or agreed to in writing, software
+* distributed under the License is distributed on an "AS IS" BASIS,
+* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+* See the License for the specific language governing permissions and
+* limitations under the License.
+*/
+
+'use strict';
+
+// MODULES //
+
+var bench = require( '@stdlib/bench' );
+var randu = require( '@stdlib/random/base/randu' );
+var format = require( '@stdlib/string/format' );
+var pkg = require( './../package.json' ).name;
+var incrnanmrmse = require( './../lib' );
+
+
+// MAIN //
+
+bench( pkg, function benchmark( b ) {
+	var f;
+	var i;
+	b.tic();
+	for ( i = 0; i < b.iterations; i++ ) {
+		f = incrnanmrmse( (i%5)+1 );
+		if ( typeof f !== 'function' ) {
+			b.fail( 'should return a function' );
+		}
+	}
+	b.toc();
+	if ( typeof f !== 'function' ) {
+		b.fail( 'should return a function' );
+	}
+	b.pass( 'benchmark finished' );
+	b.end();
+});
+
+bench( format( '%s::accumulator', pkg ), function benchmark( b ) {
+	var acc;
+	var v;
+	var i;
+
+	acc = incrnanmrmse( 5 );
+
+	b.tic();
+	for ( i = 0; i < b.iterations; i++ ) {
+		v = acc( randu()-0.5, randu()-0.5 );
+		if ( v !== v ) {
+			b.fail( 'should not return NaN' );
+		}
+	}
+	b.toc();
+	if ( v !== v ) {
+		b.fail( 'should not return NaN' );
+	}
+	b.pass( 'benchmark finished' );
+	b.end();
+});

lib/node_modules/@stdlib/stats/incr/nanmrmse/docs/repl.txt

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+
+{{alias}}( W )
+    Returns an accumulator function which incrementally computes a moving root
+    mean squared error (RMSE), ignoring `NaN` values.
+
+    The `W` parameter defines the number of values over which to compute the
+    moving root mean squared error.
+
+    If provided a value, the accumulator function returns an updated moving root
+    mean squared error. If not provided a value, the accumulator function
+    returns the current moving root mean squared error.
+
+    As `W` values are needed to fill the window buffer, the first `W-1` returned
+    values are calculated from smaller sample sizes. Until the window is full,
+    each returned value is calculated from all provided values.
+
+    Parameters
+    ----------
+    W: integer
+        Window size.
+
+    Returns
+    -------
+    acc: Function
+        Accumulator function.
+
+    Examples
+    --------
+    > var accumulator = {{alias}}( 3 );
+    > var r = accumulator()
+    null
+    > r = accumulator( 2.0, 3.0 )
+    1.0
+    > r = accumulator( -5.0, 2.0 )
+    5.0
+    > r = accumulator( NaN, 2.0 )
+    5.0
+    > r = accumulator( 3.0, 2.0 )
+    ~4.12
+    > r = accumulator( 3.0, NaN )
+    ~4.12
+    > r = accumulator( 5.0, -2.0 )
+    ~5.74
+    > r = accumulator()
+    ~5.74
+
+    See Also
+    --------
+

lib/node_modules/@stdlib/stats/incr/nanmrmse/docs/types/index.d.ts

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+/*
+* @license Apache-2.0
+*
+* Copyright (c) 2026 The Stdlib Authors.
+*
+* Licensed under the Apache License, Version 2.0 (the "License");
+* you may not use this file except in compliance with the License.
+* You may obtain a copy of the License at
+*
+*    http://www.apache.org/licenses/LICENSE-2.0
+*
+* Unless required by applicable law or agreed to in writing, software
+* distributed under the License is distributed on an "AS IS" BASIS,
+* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+* See the License for the specific language governing permissions and
+* limitations under the License.
+*/
+
+// TypeScript Version: 4.1
+
+/// <reference types="@stdlib/types"/>
+
+/**
+* If provided input values, the accumulator function returns an updated root mean squared error. If not provided input values, the accumulator function returns the current root mean squared error.
+*
+* @param x - input value
+* @param y - input value
+* @returns root mean squared error or null
+*/
+type accumulator = ( x?: number, y?: number ) => number | null;
+
+/**
+* Returns an accumulator function which incrementally computes a moving root mean squared error, ignoring `NaN` values.
+*
+* ## Notes
+*
+* -   The `W` parameter defines the number of values over which to compute the moving root mean squared error.
+* -   As `W` values are needed to fill the window buffer, the first `W-1` returned values are calculated from smaller sample sizes. Until the window is full, each returned value is calculated from all provided values.
+*
+* @param W - window size
+* @throws must provide a positive integer
+* @returns accumulator function
+*
+* @example
+* var accumulator = incrnanmrmse( 3 );
+*
+* var r = accumulator();
+* // returns null
+*
+* r = accumulator( 2.0, 3.0 );
+* // returns 1.0
+*
+* r = accumulator( -5.0, 2.0 );
+* // returns 5.0
+*
+* r = accumulator( NaN, 2.0 );
+* // returns 5.0
+*
+* r = accumulator( 3.0, 2.0 );
+* // returns ~4.12
+*
+* r = accumulator( 3.0, NaN );
+* // returns ~4.12
+*
+* r = accumulator( 5.0, -2.0 );
+* // returns ~5.74
+*
+* r = accumulator();
+* // returns ~5.74
+*/
+declare function incrnanmrmse( W: number ): accumulator;
+
+
+// EXPORTS //
+
+export = incrnanmrmse;